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Finding the Fourth Proportional to 232,726.50, 321,162.57 and 126,742.50

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Solution

The fourth proportional to 232,726.50, 321,162.57 and 126,742.50 is: 174,904.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,726.50 : 321,162.57 = 126,742.50 : x
  2. Step 2: Convert to fraction form
    232,726.50/321,162.57 = 126,742.50/x
  3. Step 3: Cross multiply
    232,726.50x = 321,162.57 × 126,742.50
  4. Step 4: Simplify right side
    232,726.50x = 40,704,947,028.23
  5. Step 5: Solve for x
    x = 40,704,947,028.23/232,726.50
  6. Step 6: Final answer
    x = 174,904.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.